Data-driven solutions for inverse elemental modeling
Methods for determining mineral compositions of materials are described. The methods include obtaining elemental data associated with a geologic sample, calculating a measurement correlation matrix of the geologic sample from the elemental data, calculating an artificial correlation matrix, comparing the measurement correlation matrix and the artificial correlation matrix to determine an error value, minimizing the error value by updating the artificial correlation matrix and comparing the measurement correlation matrix to the updated artificial correlation matrix, and determining a mineral composition of the geologic sample based on the minimized measurement correlation matrix.
1. A method for determining mineral compositions of a material, the method comprising:
obtaining elemental data associated with a geologic sample;
calculating a measurement correlation matrix of the geologic sample from the elemental data;
calculating an artificial correlation matrix;
comparing the measurement correlation matrix and the artificial correlation matrix to determine an error value;
minimizing the error value by updating the artificial correlation matrix to generate an updated artificial correlation matrix and comparing the measurement correlation matrix to the updated artificial correlation matrix; and
determining a mineral composition of the geologic sample based on the minimized error value.
2. The method of claim 1 , further comprising:
slabbing the geologic sample to expose a surface of the geologic sample;
cleaning the exposed surface of the geological sample; and
performing x-ray fluorescence on the cleaned exposed surface of the geological sample.
3. The method of claim 1 , further comprising:
trimming the geologic sample to expose a surface of the geologic sample;
cleaning the exposed surface of the geological sample; and
performing x-ray fluorescence on the cleaned exposed surface of the geological sample.
4. The method of claim 1 , further comprising:
grinding the geologic sample into powder;
pressing the powder into a pellet;
performing x-ray fluorescence on a surface of the pellet.
5. The method of claim 1 , further comprising generating the elemental data from x-ray fluorescence data representative of elements that comprise the geologic sample.
6. The method of claim 1 , further comprising importing a mineral dictionary, wherein the mineral dictionary comprises a plurality of mineral names and associated chemical formulae.
7. The method of claim 6 , wherein the artificial correlation matrix is based on information in the mineral dictionary.
8. The method of claim 7 , further comprising incorporating an artificially generated signal noise into the artificial correlation matrix.
9. The method of claim 1 , further comprising repeating the minimizing the error value until the error value is equal to or below a predetermined error value.
10. The method of claim 1 , wherein the geologic sample is at least one of a core sample, a sidewall core sample, and a cuttings sample.
11. The method of claim 1 , further comprising ranking a plurality of minerals that comprise the mineral composition of the geologic sample based on a mineral abundance.
12. The method of claim 1 , further comprising saving the mineral composition of the geologic sample in a form of at least one of a mineralogy log and a mineralogy table.
13. The method of claim 1 , further comprising performing a secondary optimization on the mineral composition of the geologic sample using selected minerals to calculate mineral abundances.
14. The method of claim 1 , wherein the determining of the mineral composition of the geologic sample is performed during a drilling operation.
15. The method of claim 1 , further comprising, based on wherein the mineral composition of the geologic sample, at least one of:
making geomechanical inferences regarding at least one of a formation structure and a formation strengths;
performing a brittleness analysis to inform fracing operations and deployment;
providing indicators of subsurface formations and reservoirs for production and extraction; and
performing a log data interpretation for logs obtained during while-drilling operations.
16. The method of claim 1 , wherein the elemental data is obtained from x-ray fluorescence.
17. The method of claim 1 , wherein the elemental data is obtained from elemental spectroscopy.
18. The method of claim 17 , wherein the elemental spectroscopy is neutron capture spectroscopy logging.
19. The method of claim 17 , wherein the elemental spectroscopy is Reitveld refinement x-ray diffraction.
20. The method of claim 17 , further comprising combining the elemental spectroscopy with at least one of gamma ray spectroscopy, a neutron density, a resistivity, and nuclear magnetic resonance.